Q: What are the prime factors of the number 160,420,056?

 A: 2, 3, 59, 193, 587

Why are those the prime factors of the number 160,420,056?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 160,420,056

160,420,056
Factor Arrows
280,210,028
Factor Arrows
240,105,014
Factor Arrows
220,052,507
Factor Arrows
36,684,169
Factor Arrows
59113,291
Factor Arrows
193587

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 59, 193, 587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 59 x 193 x 587 = 160,420,056

This can also be written as 23 x 31 x 591 x 1931 x 5871 = 160,420,056

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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