Q: What are the prime factors of the number 70,443,400?

 A: 2, 5, 352217

Why are those the prime factors of the number 70,443,400?

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 70,443,400

70,443,400
Factor Arrows
235,221,700
Factor Arrows
217,610,850
Factor Arrows
28,805,425
Factor Arrows
51,761,085
Factor Arrows
5352,217

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, 5, 352217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 352,217 = 70,443,400

This can also be written as 23 x 52 x 352,2171 = 70,443,400

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


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